Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

D. Grocer's Problem

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYesterday was a fair in a supermarket's grocery section. There were *n* jars with spices on the fair. Before the event the jars were numbered from 1 to *n* from the left to the right. After the event the jars were moved and the grocer had to sort them by the increasing of the numbers.

The grocer has a special machine at his disposal. The machine can take any 5 or less jars and rearrange them in the way the grocer wants. Note that the jars do not have to stand consecutively. For example, from the permutation 2, 6, 5, 4, 3, 1 one can get permutation 1, 2, 3, 4, 5, 6, if pick the jars on the positions 1, 2, 3, 5 and 6.

Which minimum number of such operations is needed to arrange all the jars in the order of their numbers' increasing?

Input

The first line contains an integer *n* (1 ≤ *n* ≤ 10^{5}). The second line contains *n* space-separated integers *a*_{i} (1 ≤ *a*_{i} ≤ *n*) — the *i*-th number represents the number of a jar that occupies the *i*-th position. It is guaranteed that all the numbers are distinct.

Output

Print on the first line the least number of operations needed to rearrange all the jars in the order of the numbers' increasing. Then print the description of all actions in the following format.

On the first line of the description of one action indicate the number of jars that need to be taken (*k*), on the second line indicate from which positions the jars need to be taken (*b*_{1}, *b*_{2}, ..., *b*_{k}), on the third line indicate the jar's new order (*c*_{1}, *c*_{2}, ..., *c*_{k}). After the operation is fulfilled the jar from position *b*_{i} will occupy the position *c*_{i}. The set (*c*_{1}, *c*_{2}, ..., *c*_{k}) should be the rearrangement of the set (*b*_{1}, *b*_{2}, ..., *b*_{k}).

If there are multiple solutions, output any.

Examples

Input

6

3 5 6 1 2 4

Output

2

4

1 3 6 4

3 6 4 1

2

2 5

5 2

Input

14

9 13 11 3 10 7 12 14 1 5 4 6 8 2

Output

3

4

2 13 8 14

13 8 14 2

5

6 7 12 5 10

7 12 6 10 5

5

3 11 4 1 9

11 4 3 9 1

Note

Let's consider the first sample. The jars can be sorted within two actions.

During the first action we take the jars from positions 1, 3, 6 and 4 and put them so that the jar that used to occupy the position 1 will occupy the position 3 after the operation is completed. The jar from position 3 will end up in position 6, the jar from position 6 will end up in position 4 and the jar from position 4 will end up in position 1.

After the first action the order will look like that: 1, 5, 3, 4, 2, 6.

During the second operation the jars in positions 2 and 5 will change places.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Sep/19/2020 12:23:47 (f1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|